A study on dust acoustic traveling wave solutions and quasiperiodic route to chaos in nonthermal magnetoplasmas

Saha, Asit; Pal, Nikhil R.; Saha, Tushar; Ghorui, Malay Kumar; Chatterjee, Prasanta

doi:10.1007/s40094-016-0226-8

Cited by 20 publications

(4 citation statements)

References 55 publications

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“…A soliton solution of Equation (88) corresponds to the homoclinic orbit, which is formed around the saddle point, while periodic orbits will be formed around the centre point, which gives nonlinear periodic travelling wave solution. [ 30,38,40 ]…”

Section: Phase Portrait and Chaos Analysismentioning

confidence: 99%

“…[ 37 ] The dust acoustic travelling wave solution and quasiperiodic route to chaos in nonthermal magnetoplasma have been investigated. [ 38 ] The nonlinear dynamical study of ion acoustic wave in a quantum pair plasma has also been done by controlling parameters such as quantum parameter and variations of the Mach number. [ 39 ] Recently, the dynamical properties of the nonlinear Schrödinger equation have been investigated for ion acoustic waves in a quantum plasma.…”

Section: Introductionmentioning

confidence: 99%

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Higher‐order inertial Alfvén wave dressed solitons, quasiperiodic structures, and chaos in plasmas

Mahmood

Ur‐Rehman

Ali

et al. 2021

Contributions to Plasma Physics

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The higher‐order, low‐amplitude inertial Alfvén wave (IAW) dressed soliton and chaos are investigated in a magnetized plasma. In the linear limit, the dispersion relation for propagation of IAWs in plasmas is also obtained in the presence of electron thermal effects and illustrated numerically. It is found that the electron inertial length plays an important role for wave dispersion effects and its phase speed is increased on including the electron temperature in the model. The reductive perturbation method is employed to obtain the first‐order IAW Korteweg–de Vries (KdV) soliton and second‐order dressed soliton solutions analytically, which gives electron density dip (or rarefactive) structure and moves with super Alfvénic speed in plasmas. The numerical illustrations of the KdV and dressed IAW solitons are also presented by using the laboratory and space plasma parameters given in the literature. Furthermore, a numerical study of quasi‐periodicity and chaotic behaviour of IAWs in the presence of external periodic force is also discussed in detail. The effects of plasma beta (which depends on plasma density, electron temperature, and magnetic field intensity) and obliqueness of the wave propagation on the formation of nonlinear Alfvénic wave structures have also been presented.

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Section: Phase Portrait and Chaos Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Higher‐order inertial Alfvén wave dressed solitons, quasiperiodic structures, and chaos in plasmas

Mahmood

Ur‐Rehman

Ali

et al. 2021

Contributions to Plasma Physics

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“…El‐Tantawy et al [ 37 ] have applied the hybrid distribution function to investigate the head‐on collision of ion acoustic solitons and rogue waves. The study of DAW and dust ion acoustic waves have also been performed with electrons featuring the hybrid Cairns–Tsallis distribution by Saha et al [ 38 ] and Guo and Mei, [ 39 ] respectively. Recently, several theoretical investigations [ 40–45 ] have been performed in different plasma models for electrostatic and electromagnetic waves by adopting the hybrid Cairns–Tsallis velocity distribution for lighter particles.…”

Section: Introductionmentioning

confidence: 99%

Polarization force in an opposite polarity dusty plasma with hybrid Cairns–Tsallis distributed electrons

Farooq

Ahmad

Jan

2021

Contributions to Plasma Physics

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The effect of polarization force acting on oppositely charged dust grains in magnetized plasma is analysed for obliquely propagating low frequency electrostatic waves with Maxwellian ions, and non‐Maxwellian electrons following the hybrid Cairns–Tsallis velocity distribution. It is shown that the polarization force acting on positively charged dust grain is different from the one acting on negatively charged dust grain in the presence of hybrid Cairns–Tsallis distributed electrons. A nonlinear equation in the form of Zakharov–Kuznetsov equation is derived via perturbation analysis for the description of electrostatic solitary structures in the limit of weak‐amplitude. A parametric investigation determines the modifications arising in the propagation of dust acoustic soliton due to the presence of polarization force and hybrid Cairns–Tsallis distributed electrons. It is also found that the effect of polarization force is more pronounced for heavier dust grain with high charge number. Finally, there is a lower limit found for the q‐nonextensive parameter, below which modifications in soliton profile cease to exist due to the presence of hybrid Cairns–Tsallis distributed electrons.

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“…[8] showed that the presence of a non-Maxwellian distribution of electrons could trans…gure the nature of nonlinear density excitations to allow for the existence of structures observed by the Freja and Viking satellites [9], [10]. Various studies have shown that the non-Maxwellian distributions signi…cantly modify the linear and nonlinear propagation of waves in plasmas [11], [12], [13]. [15], [16].…”

Section: Introductionmentioning

confidence: 99%

Electron Bernstein waves in a collisionless magnetoplasma with Cairns distribution function

et al. 2018

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In this paper, we have investigated the electrostatic electron Bernstein waves in a collisionless magnetized plasma using the Cairns distribution function. In this regard, we have derived a generalized dielectric constant for the Bernstein waves and derived the modi…ed dispersion relation in the presence of Cairns distribution function. We have found that the dispersion curves for the electron Bernstein waves using the Cairns distribution

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A study on dust acoustic traveling wave solutions and quasiperiodic route to chaos in nonthermal magnetoplasmas

Cited by 20 publications

References 55 publications

Higher‐order inertial Alfvén wave dressed solitons, quasiperiodic structures, and chaos in plasmas

Higher‐order inertial Alfvén wave dressed solitons, quasiperiodic structures, and chaos in plasmas

Polarization force in an opposite polarity dusty plasma with hybrid Cairns–Tsallis distributed electrons

Electron Bernstein waves in a collisionless magnetoplasma with Cairns distribution function

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